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Finding the Fourth Proportional to 6,047.00, 9,071.06 and 2,097.64

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Solution

The fourth proportional to 6,047.00, 9,071.06 and 2,097.64 is: 3,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.00 : 9,071.06 = 2,097.64 : x
  2. Step 2: Convert to fraction form
    6,047.00/9,071.06 = 2,097.64/x
  3. Step 3: Cross multiply
    6,047.00x = 9,071.06 × 2,097.64
  4. Step 4: Simplify right side
    6,047.00x = 19,027,785.13
  5. Step 5: Solve for x
    x = 19,027,785.13/6,047.00
  6. Step 6: Final answer
    x = 3,146.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.